The data below represent commute times (in minutes) and scores on a well-being survey. Complete parts (a) through (d) below. Commute Time (minutes), x Well-Being Index Score, y 15 25 40 60 105 D 69.1 68.1 67.2 66.3 65.1 64.4 62.5 84 O D. For every unit increase in index score, the commute time falls by . on average. (Round to three decimal places as needed.) O E. It is not appropriate to interpret the y-intercept because a commute time of zero minutes does not make sense and the value of zero minutes is much smaller than those observed in the data set. (c) Predict the well-being index of a person whose commute time is 30 minutes. The predicted index score is (Round to one decimal place as needed.) (d) Suppose Barbara has a 20-minute commute and scores 66.9 on the survey, Is Barbara more "well-off" than the typical individual who has a 20-minute commute? Select the correct choice below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) O A. No, Barbara is less well-off because the typical individual who has a 20-minute commute scores O B. Yes, Barbara is more well-off because the typical individual who has a 20-minute commute scores
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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